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Solved Problems-6

Problem-6
Determine the current density function Description: Description: 106829.png associated with the magnetic field defined by
(a) Description: Description: 106821.png (Cartesian)
(b) Description: Description: 106814.png (Cylindrical)
(c) Description: Description: 106805.png (Spherical)
Solution
(a) Description: Description: 106794.png
 
By Ampere’s law in Cartesian coordinates,
 
Description: Description: 106786.png

(b) By Ampere’s law in cylindrical coordinates,
 
Description: Description: 106777.png
 
(c) Description: Description: 106767.png
 
By Ampere’s law in spherical coordinates,
 
Description: Description: 106759.png
 





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